Stupidity: Aunt Bee learns that a New York writer and his wife have moved to Mayberry and she invites him to speak at a Literary Club meeting which will be held at her home. By telephone, Aunt Bee gives directions to the writer's wife. She says, "We're a quarter mile outside of town" - but she neglects to say in which direction.
Aunt Bee's Cruise: Part 2 - S1-E16
Factual error: Captain Wolford tells Aunt Bee that he has performed several shipboard weddings. Contrary to popular belief, sea captains have no authority to perform weddings.